Thread: finding length

A Steel chimney is held in position by several guy wires. Two such wires AB and AC where B,C and the base of the chimney,D,are on the same level in a staight line with B and C on the left of the chimney. If Angle ABC=45 degrees, ACD=67 degrees and BC=32m. Find the hight of A above D?

Originally Posted by zak_killcity14@hotmail.co

A Steel chimney is held in position by several guy wires. Two such wires AB and AC where B,C and the base of the chimney,D,are on the same level in a staight line with B and C on the left of the chimney. If Angle ABC=45 degrees, ACD=67 degrees and BC=32m. Find the hight of A above D?

the figure is like this:
make a right angled triangle, right angled at D
label one vertex as A, other as B
On DB, choose a point C
Now, angleABD(or ABC)=45degrees
and angleACD=67degrees
BC=32 m
you have to find AD
from triangle ACD

or
from triangle ABD

or
Subtracting (1) from (2)

but BD-CD=BC=32
hence



Keep Smiling
Malay

Hello, Zak!

I assume you have a sketch . . .

A steel chimney is held in position by several guy wires.
Two such wires and where and the base of the chimney, ,
are on the same level in a straight line with and on the left of the chimney.
If
find the height of the chimney,

Code:

                              * A
                           * *|
                        *   * |
                     *     *  |
                  *       *   | y
               *         *    |
            *           *     |
         * 45°         * 67°  |
      *---------------*-------*
      B      32       C   x   D

Let

In right triangle [1]

In right triangle [2]


Equate [1] and [2]: .


Solve for

. .


Therefore: .